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math-ph2026
A Geometric Derivation of the Einstein Equations from the Causal Action Principle
Felix Finster, Christoph Krpoun
The causal action principle for causal fermion systems is analyzed for a minimizing measure whose support is assumed to have the structure of a smooth manifold . The con…
math-ph2026
The Fermionic Signature Operator in the Reissner-Nordström Geometry in Horizon-Penetrating Coordinates
Felix Finster, Christoph Krpoun
We study the Dirac equation in the Reissner-Nordström geometry in horizon-penetrating coordinates up to the Cauchy horizon. A mass decomposition theorem is proved, which gives a co…
math-ph2023
An Integral Representation for the Dirac Propagator in the Reissner-Nordström Geometry in Eddington-Finkelstein Coordinates
Felix Finster, Christoph Krpoun
The Cauchy problem for the massive Dirac equation is studied in the Reissner-Nordström geometry in horizon-penetrating Eddington-Finkelstein-type coordinates. We derive an integral…